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Finding the Fourth Proportional to 108.04, 162.15 and 77.12

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Solution

The fourth proportional to 108.04, 162.15 and 77.12 is: 115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.04 : 162.15 = 77.12 : x
  2. Step 2: Convert to fraction form
    108.04/162.15 = 77.12/x
  3. Step 3: Cross multiply
    108.04x = 162.15 × 77.12
  4. Step 4: Simplify right side
    108.04x = 12,504.20
  5. Step 5: Solve for x
    x = 12,504.20/108.04
  6. Step 6: Final answer
    x = 115.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.